A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
simplify into a single fraction and write your answer in terms of sin x and cos x: tan x + 1/tan x
anonymous
 3 years ago
simplify into a single fraction and write your answer in terms of sin x and cos x: tan x + 1/tan x

This Question is Closed

ZeHanz
 3 years ago
Best ResponseYou've already chosen the best response.0Hint: tanx=sinx/cosx, so 1/tanx=cosx/sinx. You now only need to write the sum of these as one fraction!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so sin^2x + Cos^2x/cosxsinx ?

asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.0yes  that is correct but you can simplify this further.\[\sin^2(x)+\cos^2(x)=?\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0o um (sinx)(sinx) + (cosx)(cosx)/cosxsinx

asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.0no, the equation I wrote up there is a well know trig identity  look it up in your notes, you must have been taught this at some stage.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Pythagorean trig identity

asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.0so now make use of that fact to simplify your expression

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ya idk, I just kinda put it out sin^2x + Cos^2x/cosxsinx = 1 im not seeing how this relates it just made it worse,.

asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.0the identity you need to use is:\[\sin^2(x)+\cos^2(x)=1\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0what do u mean, this has nothing to do with this problem lol I mean all I know is that is the Pythagorean tri identity and that you can move cos or sin and lets say u move sin it goes to the right and u have cos^2(x) = plus or minus radical 1sin^2(x)

asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.0Look at the steps you took in this problem:\[\begin{align} \tan(x)+\frac{1}{\tan(x)}&=\frac{\sin(x)}{\cos(x)}+\frac{\cos(x)}{\sin(x)}\\ &=\frac{\sin^2(x)+\cos^2(x)}{\cos(x)\sin(x)} \end{align}\]now notice that the numerator contains the terms: \(\sin^2(x)+\cos^2(x)\), and you know that this identity always equals 1. Therefore you can replace \(\sin^2(x)+\cos^2(x)\) by 1.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.